Finite Group Databasebeta

← #33979688

Subgroups — #33979688

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624292C211yesmaximal, characteristic, complemented
2#22623987C211yesmaximal, characteristic, complemented
3#22623009C211yesmaximal, characteristic, complemented
4#22622955C211yesmaximal, characteristic, complemented
5#22622762C211yesmaximal, characteristic, complemented
6#22622633C211yesmaximal, characteristic, complemented
7#22622023C211yesmaximal, characteristic, complemented
8#22621968C211yesmaximal, characteristic, complemented
9#22621953C211yesmaximal, characteristic, complemented
10#22621944C211yesmaximal, characteristic, complemented
11#22621866C211yesmaximal, characteristic, complemented
12#22621788C211yesmaximal, characteristic, complemented
13#22621664C211yesmaximal, characteristic, complemented
14#22621616C211yesmaximal, characteristic, complemented
15#22621465C211yesmaximal, characteristic, complemented
16#22621451C211yesmaximal, characteristic, complemented
17#22621450C211yesmaximal, characteristic, complemented
18#22621411C211yesmaximal, characteristic, complemented
19#22621398C211yesmaximal, characteristic, complemented
20#22621359C211yesmaximal, characteristic, complemented
21#22621253C211yesmaximal, characteristic, complemented
22#22621022C211yesmaximal, characteristic, complemented
23#22621003C211yesmaximal, characteristic, complemented
24#22620967C211yesmaximal, characteristic, complemented
25#22620190C211yesmaximal, characteristic, complemented
26#22620115C211yesmaximal, characteristic, complemented
27#22620079C211yesmaximal, characteristic, complemented
28#22619465C211yesmaximal, characteristic, complemented
29#22619383C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3041C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556612C2211yescharacteristic, complemented
34C2×#14556610C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36#17989326—21no—
37#17989325—21no—
38#17989307C2211yescharacteristic, complemented
39#17989306C2211yescharacteristic, complemented
40#17989305C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989287C2211yescharacteristic, complemented
43#17989286—21no—
44#17989280—21no—
45#17989277—21no—
46#17989276C2211yescharacteristic
47#17989263—21no—
48#17989263—21no—
49#17989257C2211yescharacteristic, complemented
50#17989257C2211yescharacteristic, complemented
51#17989256C2211yescharacteristic
52#17989241C2211yescharacteristic, complemented
53#17989236C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989231C2211yescharacteristic
56#17989231C2211yescharacteristic, complemented
57#17989230C2211yescharacteristic, complemented
58#17989224—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989208C2211yescharacteristic
61#17989206C2211yescharacteristic, complemented
62#17989202C2211yescharacteristic, complemented
63#17989199C2211yescharacteristic, complemented
64#17989179—21no—
65#17989175—21no—
66#17989172—21no—
67#17989169—21no—
68#17989164—21no—
69#17989152—21no—
70#17989150C2211yescharacteristic, complemented
71#17989136C2211yescharacteristic, complemented
72#17989135C2211yescharacteristic, complemented
73#17989119C2211yescharacteristic, complemented
74#17989117—21no—
75#17989115C2211yescharacteristic
76C2×#14556584—21no—
77#17989066C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic, complemented
79#17988982C2211yescharacteristic, complemented
80#17988978C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic
82#17988975C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic
84#17988959C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988951C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic
94#17988910C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988895C2211yescharacteristic, complemented
98#17988888C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988883C2211yescharacteristic, complemented
102#17988877C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988873C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988867C2211yescharacteristic, complemented
107#17988845C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic
110#17988833C2211yescharacteristic
111#17988828C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic
113#17988820C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic
115#17988815C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic
128#17988800C2211yescharacteristic
129#17988800C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic, complemented
131#17988798C2211yescharacteristic, complemented
132#17988796C2211yescharacteristic, complemented
133#17988793C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988784C2211yescharacteristic, complemented
138#17988784C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic, complemented
141#17988752C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988750C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic, complemented
148#17988738C2211yescharacteristic
149#17988738C2211yescharacteristic
150#17988738C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988729C2211yescharacteristic
153#17988729C2211yescharacteristic
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic
158#17988719C2211yescharacteristic
159#17988716C2211yescharacteristic, complemented
160#17988714C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic
162#17988699C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988684C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170C4×#11924016C2211yescharacteristic, complemented
171D8×Dic73C2211yescharacteristic, complemented
172C4×#11924013C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic
174#17988657C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic
176#17988656C2211yescharacteristic, complemented
177#17988652C2211yescharacteristic, complemented
178C8×C22⋊D73C2211yescharacteristic, complemented
179#17988648C2211yescharacteristic, complemented
180#17988647C2211yescharacteristic, complemented
181#17988643C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988585C2211yescharacteristic, complemented
185#17988582C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic
190#535×C73C2211yescharacteristic
191#518×C73C2211yescharacteristic, complemented
192#463×C73C2211yescharacteristic
193#463×C73C2211yescharacteristic
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic
197#459×C73C2211yescharacteristic
198#459×C73C2211yescharacteristic, complemented
199#459×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212#14556615—42no—
213#14556612—42no—
214#14556610—42no—
215#14556610—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556587—21no—
241#14556587—21no—
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556586D411yescharacteristic
246#14556585—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584D411yescharacteristic
260#14556583—21no—
261#14556583C2311yescharacteristic
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581—21no—
265#14556581D411yescharacteristic
266#14556579C2311yescharacteristic
267#14556578—21no—
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577D411yescharacteristic
276#14556576D411yescharacteristic
277#14556575—21no—
278#14556575—21no—
279#14556575—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573D411yescharacteristic
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556571C2311yescharacteristic
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570—21no—
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556569D411yescharacteristic
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556567C2311yescharacteristic
307#14556565—21no—
308#14556565—21no—
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564D411yescharacteristic
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556561—21no—
335#14556560—21no—
336#14556560—21no—
337#14556560—21no—
338#14556560—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342Q8×Dic73C2311yescharacteristic
343C4×Dic146—21no—
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346C4×Dic146C2311yescharacteristic
347C4×Dic146C2311yescharacteristic
348#14556556C2311yescharacteristic
349#14556556C2311yescharacteristic
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556550—21no—
371#14556550—21no—
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548C2311yescharacteristic
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378C2×C4⋊Dic73—21no—
379C2×#11924007—21no—
380C2×#11924007—21no—
381C2×#11924007—21no—
382C4⋊C4×D73C2311yescharacteristic
383C2×C22⋊Dic73—21no—
384C2×C22⋊Dic73—21no—
385C2×C22⋊Dic73—21no—
386C22⋊C4×D73—21no—
387C2×C4×Dic73—21no—
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442AGL(1,ℤ/8)×C73—42no—
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73—42no—
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#120×C73—21no—
461#120×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C2×C22⋊C4×C73—21no—
471C2×C22⋊C4×C73—21no—
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924027—22no—
488#11924027—22no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—82no—
496#11924027—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—21no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—82no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—41no—
525D4×D73—41no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542Dic292—41no—
543Dic292—41no—
544#11924018—41no—
545#11924018—41no—
546#11924017—41no—
547#11924017—41no—
548#11924016—22no—
549#11924016—41no—
550#11924016—41no—
551#11924016—41no—
552#11924016—41no—
553#11924016—41no—
554#11924016—41no—
555#11924016—41no—
556#11924013—22no—
557#11924013—41no—
558#11924011—41no—
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C8×D73—41no—
564C8×D73—41no—
565C8×D73—41no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648C24×C73—21no—
649#41×C73—41no—
650#41×C73—41no—
651C2×Q8×C73C2411yescharacteristic
652C2×D4×C73—22no—
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—41no—
661C2×D4×C73—41no—
662C2×D4×C73—41no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674SD16×C73—22no—
675SD16×C73—41no—
676D8×C73—22no—
677D8×C73—22no—
678D8×C73—22no—
679D8×C73—41no—
680D8×C73—41no—
681D8×C73—41no—
682M16×C73—41no—
683C2×C8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—42no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73—81no—
717C23×C73C22×D411yescharacteristic
718C22×D73—21no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—42no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73H(5,𝔽2)12yes—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C2511yescharacteristic
759C22⋊D73—41no—
760C22⋊D73—41no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—42no—
784C2×Dic73—42no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798D292—21no—
799D292—21no—
800D292—41no—
801D292—81no—
802C4×D73—21no—
803C4×D73—21no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—41no—
807C4×D73—41no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—22no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—162no—
847C22×C73—162no—
848C22×C73C23×D411yescharacteristic
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—21no—
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—21no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73C2×H(5,𝔽2)11yescharacteristic
868C4×C73#58511yescharacteristic
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62024—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—42no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73—81no—
889C2×C73#348811yescharacteristic
890C2×C73#358411yescharacteristic
891C2×C73#358511yescharacteristic
892D73—41no—
893D73—41no—
894D73—81no—
895#3546—731no—
896#3521—731no—
897#3402—731no—
898#3397—731no—
899#3376—731no—
900#3366—731no—
901#3315—731no—
902#3311—731no—
903#3310—731no—
904#3309—731no—
905#3304—731no—
906#3297—731no—
907#3284—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3267—731no—
912#3264—731no—
913#3263—731no—
914#3258—731no—
915#3247—731no—
916#3224—731no—
917#3222—731no—
918#3219—731no—
919#3124—731no—
920#3118—731no—
921#3115—731no—
922#3045—731no—
923#3041D7311yescharacteristic, complemented
924#3035—731no—
925#2992—731no—
926C73#6202411yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
929C2×#135—731no—
930C2×#135—731no—
931C2×#135—731no—
932C22×D8C2×D7311yescharacteristic
933#560—1461no—
934#560—1461no—
935#556—731no—
936#556—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#552—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#550—731no—
948#550—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#542—731no—
959#542—731no—
960#541—731no—
961#539—1461no—
962#538—1461no—
963#538—1461no—
964#538—1461no—
965#537—1461no—
966#535—731no—
967#535—1461no—
968#535C2×D7311yescharacteristic
969#532—731no—
970#532—731no—
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#126—1461no—
975#520—731no—
976#518C2×D7311yescharacteristic, complemented
977C4×#41—731no—
978#497—731no—
979#497—731no—
980#496—731no—
981#496—731no—
982#495—731no—
983#492—731no—
984#491—731no—
985#490—731no—
986#490—731no—
987#489—731no—
988#488—731no—
989#486—731no—
990#485—731no—
991#484—731no—
992#482—731no—
993#482—731no—
994#482—731no—
995#480—731no—
996#479—731no—
997#478—731no—
998#478—731no—
999#478—731no—
1000#477—731no—
1001#476—731no—
1002#476—731no—
1003#475—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#470—731no—
1008#469—731no—
1009#468—731no—
1010#467—731no—
1011#466—731no—
1012#466—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463C2×D7311yescharacteristic
1031#463C2×D7311yescharacteristic
1032#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459C2×D7311yescharacteristic
1045#459C2×D7311yescharacteristic
1046#459C2×D7311yescharacteristic, complemented
1047#459C2×D7311yescharacteristic, complemented
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#450—731no—
1055#450—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#440—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076C4×Q16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#432—731no—
1089#424—731no—
1090#424C2×D7311yescharacteristic, complemented
1091C2×C4⋊C8—731no—
1092#418C2×D7311yescharacteristic
1093#417—731no—
1094#416—731no—
1095#416—731no—
1096#416C2×D7311yescharacteristic, complemented
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109C22×D4C22×D7311yescharacteristic
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—2922no—
1112#135—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—42no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8C22×D7311yescharacteristic
1135C2×D8C22×D7311yescharacteristic
1136C2×D8C22×D7311yescharacteristic
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16C22×D7311yescharacteristic
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#127—1461no—
1154#127C22×D7311yescharacteristic
1155#127C22×D7311yescharacteristic
1156#126—731no—
1157#126—731no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#125—731no—
1173#125—731no—
1174#125—731no—
1175#125—1461no—
1176#125—1461no—
1177#125—1461no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124C22×D7311yescharacteristic
1189#124C22×D7311yescharacteristic
1190#123—731no—
1191#123—731no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221#121—21no—
1222#121—21no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#120—21no—
1251#120—21no—
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—1461no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4C22×D7311yescharacteristic
1291C4×D4C22×D7311yescharacteristic
1292C4×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294#117—731no—
1295#117—731no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117C22×D7311yescharacteristic
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C42—731no—
1316C2×C42—1461no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8C22×D7311yescharacteristic
1332C4⋊C8C22×D7311yescharacteristic
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—21no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—5842no—
1393#41—5842no—
1394#41—1462no—
1395#41—1462no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8—1461no—
1402C2×Q8C23×D7311yescharacteristic
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—5842no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467Q16—2921no—
1468SD16—22no—
1469SD16—41no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—1462no—
1480D8—22no—
1481D8—22no—
1482D8—22no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—2921no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490C2×C8—41no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4D4×D7311yescharacteristic
1586C22⋊C4D4×D7311yescharacteristic
1587C42—21no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—5841no—
1613C23—5841no—
1614C23—5841no—
1615C23—731no—
1616C23—731no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—2921no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—2921no—
1647D4—2922no—
1648D4—2922no—
1649D4—2921no—
1650D4—2921no—
1651D4—2922no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—5841no—
1664D4—5841no—
1665D4—1461no—
1666D4—1461no—
1667D4#1455663612yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—2921no—
1679C2×C4—2921no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—162no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—2921no—
1784C2—2921no—
1785C2—5841no—
1786C2#2262359611yescharacteristic
1787C2#2262469911yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3041C2
socleC22×C73C23×D4
hypercenter#3041D73
hypocenterC73#62024
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3041

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624292C2semidirect
2. #22623987C2semidirect
3. #22623009C2semidirect
4. #22622955C2semidirect
5. #22622762C2semidirect
6. #22622633C2semidirect
7. #22622023C2semidirect
8. #22621968C2semidirect
9. #22621953C2semidirect
10. #22621944C2semidirect
11. #22621866C2semidirect
12. #22621788C2semidirect
13. #22621664C2semidirect
14. #22621616C2semidirect
15. #22621465C2semidirect
16. #22621451C2semidirect
17. #22621450C2semidirect
18. #22621411C2semidirect
19. #22621398C2semidirect
20. #22621359C2semidirect
21. #22621253C2semidirect
22. #22621022C2semidirect
23. #22621003C2semidirect
24. #22620967C2semidirect
25. #22620190C2semidirect
26. #22620115C2semidirect
27. #22620079C2semidirect
28. #22619465C2semidirect
29. #22619383C2semidirect
30. #22619068C2semidirect
31. C73×#3041C2semidirect
33. C2×#14556612C22semidirect
34. C2×#14556610C22semidirect
35. C2×#14556610C22semidirect
38. #17989307C22semidirect
39. #17989306C22semidirect
40. #17989305C22semidirect
41. #17989296C22semidirect
42. #17989287C22semidirect
49. #17989257C22semidirect
50. #17989257C22semidirect
52. #17989241C22semidirect
56. #17989231C22semidirect
57. #17989230C22semidirect
61. #17989206C22semidirect
62. #17989202C22semidirect
63. #17989199C22semidirect
70. #17989150C22semidirect
71. #17989136C22semidirect
72. #17989135C22semidirect
73. #17989119C22semidirect
77. #17989066C22semidirect
78. C4×#11924027C22semidirect
79. #17988982C22semidirect
80. #17988978C22semidirect
82. #17988975C22semidirect
84. #17988959C22semidirect
85. #17988954C22semidirect
86. #17988951C22semidirect
87. #17988950C22semidirect
88. #17988945C22semidirect
89. #17988941C22semidirect
90. #17988932C22semidirect
91. #17988928C22semidirect
92. #17988921C22semidirect
94. #17988910C22semidirect
95. #17988910C22semidirect
96. #17988899C22semidirect
97. #17988895C22semidirect
98. #17988888C22semidirect
99. #17988885C22semidirect
100. #17988885C22semidirect
101. #17988883C22semidirect
102. #17988877C22semidirect
103. #17988875C22semidirect
104. #17988873C22semidirect
105. #17988870C22semidirect
106. #17988867C22semidirect
107. #17988845C22semidirect
108. #17988844C22semidirect
111. #17988828C22semidirect
113. #17988820C22semidirect
115. #17988815C22semidirect
116. #17988815C22semidirect
117. #17988815C22semidirect
118. #17988813C22semidirect
119. #17988810C22semidirect
120. #17988810C22semidirect
121. #17988808C22semidirect
122. #17988807C22semidirect
123. #17988806C22semidirect
124. #17988806C22semidirect
125. #17988802C22semidirect
126. #17988802C22semidirect
129. #17988800C22semidirect
130. #17988800C22semidirect
131. #17988798C22semidirect
132. #17988796C22semidirect
133. #17988793C22semidirect
134. #17988790C22semidirect
135. #17988786C22semidirect
136. #17988786C22semidirect
137. #17988784C22semidirect
138. #17988784C22semidirect
140. #17988780C22semidirect
141. #17988752C22semidirect
142. #17988750C22semidirect
143. #17988750C22semidirect
144. #17988749C22semidirect
145. #17988749C22semidirect
146. #17988746C22semidirect
147. #17988739C22semidirect
150. #17988738C22semidirect
151. #17988731C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988729C22semidirect
159. #17988716C22semidirect
160. #17988714C22semidirect
162. #17988699C22semidirect
163. #17988697C22semidirect
164. #17988688C22semidirect
165. #17988687C22semidirect
166. #17988684C22semidirect
167. #17988684C22semidirect
168. #17988684C22semidirect
169. #17988679C22semidirect
170. C4×#11924016C22semidirect
171. D8×Dic73C22semidirect
172. C4×#11924013C22semidirect
174. #17988657C22semidirect
176. #17988656C22semidirect
177. #17988652C22semidirect
178. C8×C22⋊D73C22semidirect
179. #17988648C22semidirect
180. #17988647C22semidirect
181. #17988643C22semidirect
182. #17988612C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988585C22semidirect
185. #17988582C22semidirect
186. #17988580C22semidirect
187. #102×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
191. #518×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
198. #459×C73C22semidirect
199. #459×C73C22semidirect
200. #424×C73C22semidirect
202. #416×C73C22semidirect
923. #3041D73semidirect
926. C73#62024semidirect
928. C2×AGL(1,ℤ/8)C2×D73semidirect
976. #518C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1046. #459C2×D73semidirect
1047. #459C2×D73semidirect
1090. #424C2×D73semidirect
1096. #416C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226242922
#226239872
#226230092
#226229552
#226227622
#226226332
#226220232
#226219682
#226219532
#226219442
#226218662
#226217882
#226216642
#226216162
#226214652
#226214512
#226214502
#226214112
#226213982
#226213592
#226212532
#226210222
#226210032
#226209672
#226201902
#226201152
#226200792
#226194652
#226193832
#226190682
C73×#30412
#6202473